A student graphs f(x)= 3x - 2 On the same grid, the student graphs the function g which is a transformation off made by subtracting 4 from the input off. Describe and correct the error the student made when graphing 9 fr) = 3x-2 5 X Х Which of the following is the function that the student graphed? Choose the correct answer below O A. The transformation of f obtained by subtracting 4 from the output off

B. The transformation of f obtained by multiplying the input of g by f

O C. The transformation off obtained by adding 4 to the output off

OD. The transformation of f obtained by multiplying the output of g by f.

O E The transformation of f obtained by adding 4 to the input of f

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  E.  The transformation of f obtained by adding 4 to the input of f

Step-by-step explanation:

The expected graph was ...

  g(x) = f(x -4) . . . . . subtracting 4 from the input.

This transformation has the effect of shifting the graph 4 units to the right.

__

The student's graph is of f(x) shifted 4 units to the left, equivalent to a right shift of -4, hence a graph of ...

  g(x) = f(x -(-4))

  g(x) = f(x +4) . . . . . . adding 4 to the input   (choice E)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.